30723843116800 has 108 divisors (see below), whose sum is σ = 76052803465296. Its totient is φ = 12288488243200.

The previous prime is 30723843116789. The next prime is 30723843116801. The reversal of 30723843116800 is 861134832703.

It is a happy number.

30723843116800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30723843116801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77055552 + ... + 77453248.

Almost surely, 2^{30723843116800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30723843116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38026401732648).

30723843116800 is an abundant number, since it is smaller than the sum of its proper divisors (45328960348496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30723843116800 is a wasteful number, since it uses less digits than its factorization.

30723843116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409794 (or 409775 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 30723843116800 in words is "thirty trillion, seven hundred twenty-three billion, eight hundred forty-three million, one hundred sixteen thousand, eight hundred".